Dirac and Weyl semimetals with linearly crossing bands are the focus of much recent interest in condensed matter physics. Although they host fascinating phenomena, their physics can be understood in… Click to show full abstract
Dirac and Weyl semimetals with linearly crossing bands are the focus of much recent interest in condensed matter physics. Although they host fascinating phenomena, their physics can be understood in terms of weakly interacting electrons. In contrast, more than 40 years ago, Abrikosov pointed out that quadratic band touchings are generically strongly interacting. We have performed terahertz spectroscopy on the films of the conducting pyrochlore Pr2Ir2O7, which has been shown to host a quadratic band touching. A dielectric constant as large as $$\tilde{ \varepsilon} {\mathrm{/}}\epsilon _0 \sim 180$$ε̃∕ϵ0~180 is observed at low temperatures. In such systems, the dielectric constant is a measure of the relative scale of interactions, which are therefore in our material almost two orders of magnitude larger than the kinetic energy. Despite this, the scattering rate exhibits a T2 dependence, which shows that for finite doping a Fermi liquid state survives—however, with a scattering rate close to the maximal value allowed.The electronic structure of Pr2Ir2O7 contains a quadratic band touching, which is expected to lead to unusual interaction-driven behavior. Here, the authors use spectroscopic measurements to observe signatures of strong interactions but also that Fermi liquid behavior is retained at low temperatures.
               
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